1540341440 has 112 divisors (see below), whose sum is σ = 4236927264. Its totient is φ = 527155200.

The previous prime is 1540341437. The next prime is 1540341463. The reversal of 1540341440 is 441430451.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46970 + ... + 72710.

Almost surely, 2^1540341440 is an apocalyptic number.

1540341440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118463632).

1540341440 is an abundant number, since it is smaller than the sum of its proper divisors (2696585824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1540341440 is a wasteful number, since it uses less digits than its factorization.

1540341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25786 (or 25776 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1540341440 is about 39247.1838480164. The cubic root of 1540341440 is about 1154.8856892298.

Adding to 1540341440 its reverse (441430451), we get a palindrome (1981771891).

The spelling of 1540341440 in words is "one billion, five hundred forty million, three hundred forty-one thousand, four hundred forty".